What is 3.435 rounded to the nearest hundredth? Submit

Help needed asap !!!!!!

Zinaida [17]

Answer:

b)0, yes

Step-by-step explanation:

Given:

Vectors (4,8) . (6,-3)

Finding inner product of vectors:

= 4x6 + 8x-3

=24-24

=0

Now to check the angle between them using formula a.b=|a|.|b|cosθ

|a|= $\sqrt{4^{2} +8^{2} } \\\sqrt{16+64}$

=8.9

|b|= $\sqrt{6^{2} +(-3)^{2} } \\\sqrt{36+9}$

=6.7

Putting values of a.b=0 and |a|=8.9, |b|=6.7 in a.b=|a|.|b|cosθ we get,

0= 8.9(6.7)cosθ

cosθ =0

θ=90 degrees

Hence the two vectors are perpendicular !

7 0

3 years ago

Multiply each binomial and find the coefficients.

Bas_tet [7]

Answers:

Row one: 1 and 1

Row two: 1, 2, and 1

Row three: 1, 3, 3, and 1

Row four: 1, 4, 6, 4, and 1

=========================================

Explanation:

Each value can be found in Pascal's triangle. You can also use the nCr combination formula to get each value. The nCr formula is

$_n C _r = \frac{n!}{r!(n-r)!}$

The value of n represents the row number. The r value is the column number, so to speak, for each row.

5 0

2 years ago

Find the 137th odd number.

KIM [24]

The first odd number is 1. The next is 2 more than the previous one.

It's an arithmetic sequence.

The general term of an arithmetic sequence:

$a_n=a_1+(n-1)d$

a_n - n-th term

a_1 - first term

d - common difference.

We have

$a_1=1,\ d=2,\ n=137$

Substitute:

$a_{137}=1+(137-1)(2)=1+(136)(2)=1+272=273$

<h3>Answer: 137th odd number is equal 273.</h3>

3 0

2 years ago

Read 2 more answers

Mr. Winking is purchasing a car and needs to finance $24,000 from the bank with an annual percentage rate (APR)

babymother [125]

Answer:

The monthly payment is $450.71

Step-by-step explanation:

Financial Computing

Given the loan amount A, the loan term t, and the APR (annual percentage rate), the montly payment is computed as

$\displaystyle P=\frac{A}{f}$

where f is

$\displaystyle f=\frac{1-(1+i)^{-n}}{i}$

The provided data is

$\displaystyle A=24,000$

$\displaystyle r=4.8\%$

$\displaystyle t=5\ years$

Since the payments will be made monthly, the values of n and i are:

$\displaystyle i=\frac{4.8}{100\times12}=0.004$

$\displaystyle n=5\times12=60\ months$

Calculating f:

$\displaystyle f=\frac{1-(1+i)^{-n}}{i}$

$\displaystyle f=\frac{1-(1+0.004)^{-60}}{0.004}$

$\displaystyle f=53.25$

Now for the payments:

$\displaystyle P=\frac{24.000}{53.25}=450.71$

$\boxed{\displaystyle P=\$450.71}$

5 0

3 years ago

Solve: 7(x + 3) < 5x + 13 1. x>-4 2.x<17 3.x<-4 4.x>-17

Mrac [35]

Answer:

Its x < - 4

Step-by-step explanation:

7 0

3 years ago